Part 6 of a six-part series of adaptations from Terence Tao’s book “Structure and Randomness“. [1.5] Ultrafilters, non-standard analysis, and epsilon management In the previous article we saw that fruitful analogies between […]

Part 5 of a six-part series of adaptations from Terence Tao’s book “Structure and Randomness“. Prerequisites Readers need some familiarity with sentences like “for every there exists a large such that…” or […]

Part 4 of a six-part series of adaptations from Terence Tao’s book “Structure and Randomness“. [1.10] The crossing number inequality A graph is a set of vertices (“objects”) and a set of edges (“relationships […]

Part 2 of a six-part series of adaptations from Terence Tao’s book “Structure and Randomness“. [1.2] Compressed sensing and single-pixel cameras This’ll be quick; the only part of the original blog post that I […]

Part 3 of a six-part series of summaries and adaptations from Terence Tao’s book “Structure and Randomness“. [1.9] Amplification, arbitrage, and the tensor power trick Given an inequality with imbalances in […]